Nonuniformly sampled computer‐generated holograms

Pappu, Ravikanth

doi:10.1117/1.600737

Cited by 11 publications

(4 citation statements)

References 16 publications

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“…Several nonuniform sampling schemes have been suggested based on the observation that the bandwidth of the object remains unchanged as a consequence of the all-pass nature of the linear system that represents the diffraction [186], [187], [188]. Another approach observes that the information of interest in a hologram is carried in the complex envelope of the fringe pattern and not in the carrier ( [189]).…”

Section: ) Sampling Of Optical Signals With Finite Extent In Differementioning

confidence: 99%

A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television

Onural

Gotchev

Özaktaş

et al. 2007

IEEE Trans. Circuits Syst. Video Technol.

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Abstract-Diffraction and holography are fertile areas for application of signal theory and processing. Recent work on 3DTV displays has posed particularly challenging signal processing problems. Various procedures to compute Rayleigh-Sommerfeld, Fresnel and Fraunhofer diffraction exist in the literature. Diffraction between parallel planes and tilted planes can be efficiently computed. Discretization and quantization of diffraction fields yield interesting theoretical and practical results, and allow efficient schemes compared to commonly used Nyquist sampling. The literature on computer-generated holography provides a good resource for holographic 3DTV related issues. Fast algorithms to compute Fourier, Walsh-Hadamard, fractional Fourier, linear canonical, Fresnel, and wavelet transforms, as well as optimization-based techniques such as best orthogonal basis, matching pursuit, basis pursuit etc., are especially relevant signal processing techniques for wave propagation, diffraction, holography, and related problems. Atomic decompositions, multiresolution techniques, Gabor functions, and Wigner distributions are among the signal processing techniques which have or may be applied to problems in optics. Research aimed at solving such problems at the intersection of wave optics and signal processing promises not only to facilitate the development of 3DTV systems, but also to contribute to fundamental advances in optics and signal processing theory.

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Section: ) Sampling Of Optical Signals With Finite Extent In Differementioning

confidence: 99%

A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television

Onural

Gotchev

Özaktaş

et al. 2007

IEEE Trans. Circuits Syst. Video Technol.

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“…Spatial subsampling sacrifices part of the spectrum through bandwidth compression and in essence is a lossy compression method. The nonuniform sampling method was introduced in HPO holographic stereograms by R Pappu [31] to achieve minimum information holograms. However, in contrast to the intensive studies on the bandwidth compression of HPO holographic stereogram systems, full parallax holographic stereogram compression has been rarely studied.…”

Section: Introductionmentioning

confidence: 99%

Bandwidth compression of full parallax holographic stereogram using nonuniform sampling

Pei¹,

Yan²,

Yan³

et al. 2015

J. Opt.

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A novel nonuniform sampling method for bandwidth compression of full parallax holographic stereograms is presented. The configuration of the holographic stereograms and the angular-frequency characteristics of the holographic element on the holographic plane are investigated. The sampling angular-frequencies are chosen for each hogel according to their spectral distribution. Sampling and decompression process for low-pass and band-pass hogels are both introduced. The decompressed hogels can reconstruct their angular spectral distributions accurately, which demonstrates that the nonuniform sampling is a lossless method. Simulation experiments are carried out to verify the proposed method. The results indicate that the method can reduce the number of samples to 46.26% of that of the traditional uniform sampling method, and the decompressed holographic stereogram can reconstruct full parallax images of a 3D object with high quality.

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“…The advent of electroholography during the proliferation of interactive systems has framed research strongly in that context; shortly after the first truly visually compelling display holograms were computed using interference modeling techniques, 1,2 generating and updating images rapidly assumed priority over inventing and improving algorithms for visual realism. In this interest of efficiency, computational methods have been designed to employ look-up tables, 3 difference methods, 4 nonuniform sampling methods, 5 precomputed stereogram-style diffractive elements, 6 and compressed, encoded representations of the fringes themselves. 7 Some of these approaches, most notably the last two, have somewhat traded image quality in favor of data compression and computational economy.…”

Section: Introduction: Speed Versus Realism In Computed Holographymentioning

confidence: 99%

Incremental update of computer-generated holograms

Plesniak¹

2003

Opt. Eng

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We describe the incremental computing method for making localized changes to a computer-generated hologram to rapidly modify the 3-D image it reconstructs. The method populates a scene with holographic primitives, tracks scene-based changes, and updates the diffractive contributions of only affected primitives. Changes are rapidly incorporated into the hologram via simple arithmetic operations, and only affected regions of the hologram are updated at each simulation time step. The method can accommodate different holographic primitive representations, is designed to be suitable for hardware assistance, and is also compatible with computer-graphics-style techniques for smooth shading, texture mapping, and reflections.

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Nonuniformly sampled computer‐generated holograms

Cited by 11 publications

References 16 publications

A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television

A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television

Bandwidth compression of full parallax holographic stereogram using nonuniform sampling

Incremental update of computer-generated holograms

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